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Finding the Fourth Proportional to 688.50, 951.42 and 654.84

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Solution

The fourth proportional to 688.50, 951.42 and 654.84 is: 904.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    688.50 : 951.42 = 654.84 : x
  2. Step 2: Convert to fraction form
    688.50/951.42 = 654.84/x
  3. Step 3: Cross multiply
    688.50x = 951.42 × 654.84
  4. Step 4: Simplify right side
    688.50x = 623,027.87
  5. Step 5: Solve for x
    x = 623,027.87/688.50
  6. Step 6: Final answer
    x = 904.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.